Answer:
(x-3) (x-7)
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -10x its coefficient is -10 .
The last term, "the constant", is +21
Step-1 : Multiply the coefficient of the first term by the constant 1 • 21 = 21
Step-2 : Find two factors of 21 whose sum equals the coefficient of the middle term, which is -10 .
-21 + -1 = -22
-7 + -3 = -10 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -3
x2 - 7x - 3x - 21
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-7)
Add up the last 2 terms, pulling out common factors :
3 • (x-7)
Step-5 : Add up the four terms of step 4 :
(x-3) • (x-7)
Which is the desired factorization
(x2 – 2x – 2)(3x2 - 4x +4)
Answer:
10-4x
Step-by-step explanation:
Find the equation of the line that is parallel to the given line and passes through the given point. y=-5x+7;(7,0)
Answer:
y = -5x + 35.
Step-by-step explanation:
y = -5x + 7
The slope for that y = -5x+7 is -5. Parallel lines have the same slopes which means the line parallel to that one will also have a slope of -5.
So now let's use the slope intercept form to create the equation that is parallel to the above equation.
y = mx + b
Since slope (m) is -5, we can plug it into the equation.
y = -5x + b
Now let's use the point (7,0) to find the y-intercept (b). We can do that by plugging the numbers in (7 for x and 0 for y).
y = -5x + b
0 = -5(7) + b
0 = -35 + b
b = 35
Now let's plug the y-intercept back into the equation.
y = -5x + 35
Therefore, the equation is y = -5x + 35.
Hope this helped! If not, please let me know! <3
What is the slope of a line perpendicular to the line in the graph
-2/3
3/2
-3/2
2/3
PLS ANSWER ASAP
Answer:
3/2
Step-by-step explanation:
opposite inverse
Michael worked 42 hours last week. His regular pay is $10.00 per hour. He is paid 1 1/2 times his regular pay for overtime hours (in excess of 40 hours). What was his gross pay?
Answer:
$430
Step-by-step explanation:
Total hours worked by Michael = 42 hours
hours worked by Michael in excess of 40 hour = 42 - 40 = 2 hour
thus,
Michael worked 2 hours overtime.
money paid for working 1 hour in regular pay = $10.00
money paid for working 40 hour in regular pay = $10.00*40 = $400
lets calculate money paid to him for over time
given
Michael is paid 1 1/2 times his regular pay for overtime hours
Money paid for overtime for 1 hour = 1 1/2 *money paid for working 1 hour in regular pay
Money paid for overtime for 1 hour = 3/2 *$10 = $15
Money paid for 2 hours work overtime = $15*2 = $30
Thus,
gross pay for 42 hours work for Michael = $400 + $30 = $430
Find the explicit formula and the value of the term indicated in 45, 40, 35, 30, ...; a50
Answer
25,20,15,10,5,0
HELP PLSSS ASAPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:I think it’s 75
Step-by-step explanation:
The distance between point A(2,3) and point B(6,1) is ?
Answer:
[tex]2 \sqrt{5} [/tex]
decimal form: 4.47213595
Answer: 395 km
lol they want it to be 200 characters long what I look like ? Lol
A cubic function is stretched by a factor of 0.4, opening downward and
shifted 10 units down and 5 units left.
Answer:
the answer is in the link
Step-by-step explanation:
https
bxaha zshkkkvxxxkvvvvwuqgceuuuegieg DONT KNO
just help and explain. tryna bring up my grade lol and no it’s not a test.
Answer:
0
Step-by-step explanation:
Answer: WE create 0
Step-by-step explanation: SINCE 5 and -5 are opposites they cancel out to 0.
The Rock Zoo nurses 37 species of big cats. Recently, a few species of big cats were sponsored to other zoos around the country. The zoo now nurses only 25 species. How many species of big cats were sponsored to other zoos?
Write the equation to be used to solve this equation.
Answer:
12 species
Step-by-step explanation:
37-N=25
working backwards
25-37=N
=25-37=12
Solve for x in the equation x squared minus 4 x minus 9 = 29
Answer:
x=5
Step-by-step explanation:
4x-9=29
4x=29-9
4x=20
x=20/4
x=5
It costs a company $20 per box to make pocket-sized stuffed animals. The company also has a fixed manufacturing cost of $2300. The owners are trying to calculate their cost for making boxes of animals. a. Identify the variables in this relationship and indicate which would be the independent variable and which would be the dependent variable.
Answer:
We want to write the cost equation for the company.
First, we know that:
It cost $20 per box.
There is a fixed cost of $2300.
Then the only variable will be the number of boxes that they make.
Where the number of boxes is the independent variable (the company can decide the number of boxes that they make) and the dependent variable will be the cost (the cost changes as the number of boxes change).
Then we can write the cost equation as:
C(x) = $20*x + $2300.
Where x is our variable, the number of boxes made by the company.
what is an equation of the line that passes through the points (0,-8) and (5,-7)? put your answer in fully reduced form.
Answer: y=1/5x -8
Step-by-step explanation:
Please help I really need it
Answer: m< MIH is 34°
M< AVM is 70°
And the angle of the obtuse angle formed at the intersection of AV and HI is 104°
Step-by-step explanation: starting with m<MIH, AH is parallel to MI, so that would make the same angle H has the same for I. (34°)
Next is m<AVM. The angle of m<LAH is 110°. So the angle of m<HAV (because it's supplementary of it) is 70 (110+70=180). Which makes m<AVM 70° since it's vertical to each other.
Since we got those answers, the next one you just plug it in, and the answer would be 104°
a game consists of placing seeds in 24 cups. a player puts two seeds in the first cup, four in the second, six in the third and so on. how many seeds will be required altogether if the player continues to the 24th cup in this way?
Step-by-step explanation:
The next cup will always have 2 more than the previous one. Continue the pattern of adding two seeds to each cup until you reach the 24th cup like so:
#s on left side = # of seed , #s on right side = # cup
6 | 3 8 | 4 10 | 5 12 | 6 14 | 7 16 | 8 18 | 9 20 | 10 22 | 11
24 | 12 26 | 13 28 | 14 30 | 15 32 | 16 34 | 17 36 | 18 38 | 19
40 | 20 42 | 21 44 | 22 46 | 23 48 | 24
What you want to know is the number of TOTAL SEEDS NEEDED TO PLAY THIS GAME. NOT how many seeds will be in the 24th cup. To find the TOTAL you need to add 2 + 4 + 6 and so on like so:
2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 + 28 + 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 + 48 = 600 TOTAL SEEDS TO PLAY THIS GAME. (this is your answer)
The radio of 2,787 to 1,750 is ____
Answer:
1.59
Step-by-step explanation:
Divide 2,787 by 1,750
What is the value of the expression below when x=3 and y=8?
6x + 10y
Answer: Answer: 98
6(3) + 10(8) = 98
Step-by-step explanation:
A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk ?
Answer:
0.75 or 3/4
Step-by-step explanation:
multiply each by 3 equal full cup of milk and 3/4 of water
Answer the answer is 83
Step-by-step explanation:
how are you supposed to multiply fraction?
BRAINLIST!!!!!!!!!
which one is a function???
Answer: C
i hope this helps
May somebody please help me
Answer:
I can't see the options
Step-by-step explanation:
what is 7 less than the product of 5 and a number?
Answer:
7x - 5 = 42
Step-by-step explanation: Hope this helps you!
A salesperson earns 25% of her total sales in addition to a base pay. The graph below represents her total pay for a given day.
How much does she earn if she does not make any sales on a given day?
A. $0
B. $25
C. $75
D. $175
She earns if she does not make any sales on a given day $0.
We have given that,
A salesperson earns 25% of her total sales in addition to base pay. The graph below represents her total pay for a given day.
We have to determine what she earns if she does not make any sales on a given day.
What is the linear graph?The line graph of an undirected graph G is another graph L(G) that represents the adjacencies between edges of G.
From the observation of the graph, we can say that she earns if she does not make any sales on a given day none.
Therefore option A is correct.
she earns if she does not make any sales on a given day $0.
To learn more about the linear graph visit:
https://brainly.com/question/4025726
#SPJ2
the amount of money in a bank account
Answer:
I currently have $-68
Step-by-step explanation:
Which graph shows the set of all solutions for the equation 7x + 2y = -14? (1 point)
Answer:
y=[tex]\frac{-7}{2}[/tex]x-7
Step-by-step explanation:
you didnt put a graph so this is the linear equation
[tex] \frac{1}{11} \times x = [/tex]
NEED THIS NOW/URGENT
i dont know how to simplify with fractions please need this right now!
Answer:
1/11x
Step-by-step explanation:
Answer: it is [tex]\frac{1}{11}x[/tex] or [tex]\frac{x}{11}[/tex]
A box has a length of 6 centimeters, a width of 4 centimeters, and a height of 5 centimeters. Jen filled the bottom layer with 24 cubes. What is the volume of the box?
Answer:
120 centimeters cubed
Step-by-step explanation:
you dont even need to know the last part. multiply length x width x height=volume (6x4x5) to get 120. the volume is 120 centimeters cubed :)
Answer:
120
Step-by-step explanation:
I know this question is old but why not
1. Identify the graph that represents the system of
linear equations
Using elimination method.
1:x+y=16
x-y=0
Answer:
x = 8 and y = 8
Step-by-step explanation:
Giving equations:
x + y = 16
x - y = 0
Unknown:
Find the values of x and y= ?
Solution:
x + y = 16 ---- (i)
x - y = 0 ------(ii)
Add i and ii:
2x = 16
x = 8
Subtract i and ii;
2y = 16
y = 8
The value of the first term of a G.P if its sum of three numbers is 7 and their
product is 8.* find the gp.
Sum of three terms in a GP = 7
Product of the numbers = 8
Find:G.P
Solution:Let the three numbers be a/r , a , ar where a is the first term and r is the common ratio.
So,
⟹ a/r + a + ar = 7 -- equation (1)
And,
⟹ (a/r) * a * ar = 8
⟹ a³ = 8
⟹ a = ³√8
⟹ a = 2
Substitute the value a in equation (1).
⟹ 2/r + 2 + 2r = 7
⟹ (2 + 2r + 2r²)/r = 7
⟹ 2 + 2r + 2r² = 7r
⟹ 2r² + 2r - 7r + 2 = 0
⟹ 2r² - 5r + 2 = 0
⟹ 2r² - 4r - r + 2 = 0
⟹ 2r(r - 2) - 1 (r - 2) = 0
⟹ (2r - 1)(r - 2) = 0
★ 2r - 1 = 0
⟹ 2r = 1
⟹ r = 1/2
★ r - 2 = 0
⟹ r = 2
If r = 1/2 ;
a/r = 2/(1/2) = 2 * 2 = 4
a = 2
ar = 2 * 1/2 = 1
If r = 2 ;
a/r = 2/2 = 1
a = 2
ar = 2 * 2 = 4
∴ Required GP is 4 , 2 , 1 or 1 , 2 , 4.
I hope it will help you.
Regards.
Step-by-step explanation:
Assume that the 4 terms are a/r, a , ar, ar2.
Product of first 3 terms = a3 =8
=> a=2
Sum of last 3 terms :
a(1 + r + r2) = 14
=> r2 + r - 6 = 0
Solving the above equation r= -3 or 2
So the terms are
-2/3, 2, -6, 18
Or
1, 2, 4, 8